Question
Find the roots
Find the roots of the algebra expression
x1=−333,x2=333
Alternative Form
x1≈−1.914854,x2≈1.914854
Evaluate
3x2−11
To find the roots of the expression,set the expression equal to 0
3x2−11=0
Move the constant to the right-hand side and change its sign
3x2=0+11
Removing 0 doesn't change the value,so remove it from the expression
3x2=11
Divide both sides
33x2=311
Divide the numbers
x2=311
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±311
Simplify the expression
More Steps
Evaluate
311
To take a root of a fraction,take the root of the numerator and denominator separately
311
Multiply by the Conjugate
3×311×3
Multiply the numbers
More Steps
Evaluate
11×3
The product of roots with the same index is equal to the root of the product
11×3
Calculate the product
33
3×333
When a square root of an expression is multiplied by itself,the result is that expression
333
x=±333
Separate the equation into 2 possible cases
x=333x=−333
Solution
x1=−333,x2=333
Alternative Form
x1≈−1.914854,x2≈1.914854
Show Solution